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    Trigonometric Identities

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    ASSIGNMENT 6
    7.4
    Use an identity to write each expression as a single trig function value or as a single number.
    14. 1 - 2 sin square 22 ½ degree
    Express as a trig function of x
    22. sin 4x
    Write each expression as a sum or difference
    44. sin 4x sin 5x
    Write each expression as a product
    46. cos 5x + cos 8x
    Use a half-angle identity to find the exact value
    54. tan 195 degrees
    76 m>1 The Mach number is the ratio of the speed of the plane and the speed of the sound. Find theta if m = 5/4

    7.5 Find the exact value of each real number y
    20. y = arcsin (- square root 3/2)
    28. y = sec^-1 (- square root 2)
    Give the degree measure of theta
    36. theta = arcsin (- square root 2/2)
    Give each real number
    52. y = arcos .44624593
    Give the exact value of each expression
    66. sec (sin^-1 (-1/5))
    Find each value
    80. sin (cos^-1 .25)

    7.6 What is the appropriate technique to begin the solution of the equation
    2. sin x + 2 =3
    Solve each equation over the interval (0, 2pi)
    20. 2 cos square x - square root 3 cos x = 0
    Solve over the interval ( 0 degree, 360 degree)
    28. cos square theta = sin square theta + 1
    36. 4 cos square theta + 4 cos theta + 1
    Determine all solutions in radians for x or degrees for theta to the nearest tenth
    44. 2 cos square x + cos x = 1
    62. 2square root 3 sin 2x = square root 3
    Solve over the interval (0degrees, 360 degrees)
    72. -2 cos 2theta = square root 3

    7.7 Solve for x
    6. 4y = sin x
    Solve for exact solutions
    24. 4pi + 4 tan^-1 y = pi
    28. arctan x = arccos 5/13
    34. arccos x + 2 arcsin square root 3/2 = pi/3

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    https://brainmass.com/math/trigonometry/trigonometric-identities-196093

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    Solution Summary

    Basixc trigonometry questions are solved using trigonometric identities.

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